On the Koplienko Spectral Shift Function. I. Basics

We study the Koplienko Spectral Shift Function (KoSSF), which is distinct from the one of Krein (KrSSF). KoSSF is defined for pairs A,B with (A - B) is in I₂, the Hilbert{Schmidt operators, while KrSSF is defined for pairs A,B with (A - B) is in I₁, the trace class operators. We review various aspec...

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Bibliographic Details
Date:2008
Main Authors: Gesztesy, F., Pushnitski, A., Simon, B.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2008
Series:Журнал математической физики, анализа, геометрии
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/106495
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:On the Koplienko Spectral Shift Function. I. Basics / F. Gesztesy, A. Pushnitski, B. Simon // Журнал математической физики, анализа, геометрии. — 2008. — Т. 4, № 1. — С. 63-107. — Бібліогр.: 71 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine